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Finding the Fourth Proportional to 4,892.30, 7,335.72 and 1,605.14

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Solution

The fourth proportional to 4,892.30, 7,335.72 and 1,605.14 is: 2,406.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,892.30 : 7,335.72 = 1,605.14 : x
  2. Step 2: Convert to fraction form
    4,892.30/7,335.72 = 1,605.14/x
  3. Step 3: Cross multiply
    4,892.30x = 7,335.72 × 1,605.14
  4. Step 4: Simplify right side
    4,892.30x = 11,774,857.60
  5. Step 5: Solve for x
    x = 11,774,857.60/4,892.30
  6. Step 6: Final answer
    x = 2,406.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.